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Finding the Fourth Proportional to 331,984.54, 497,976.54 and 121,638.88

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Solution

The fourth proportional to 331,984.54, 497,976.54 and 121,638.88 is: 182,458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,984.54 : 497,976.54 = 121,638.88 : x
  2. Step 2: Convert to fraction form
    331,984.54/497,976.54 = 121,638.88/x
  3. Step 3: Cross multiply
    331,984.54x = 497,976.54 × 121,638.88
  4. Step 4: Simplify right side
    331,984.54x = 60,573,308,591.88
  5. Step 5: Solve for x
    x = 60,573,308,591.88/331,984.54
  6. Step 6: Final answer
    x = 182,458.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.